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Finding the Fourth Proportional to 753.58, 1,129.02 and 506.20

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Solution

The fourth proportional to 753.58, 1,129.02 and 506.20 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.58 : 1,129.02 = 506.20 : x
  2. Step 2: Convert to fraction form
    753.58/1,129.02 = 506.20/x
  3. Step 3: Cross multiply
    753.58x = 1,129.02 × 506.20
  4. Step 4: Simplify right side
    753.58x = 571,509.92
  5. Step 5: Solve for x
    x = 571,509.92/753.58
  6. Step 6: Final answer
    x = 758.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.